Using Simulink

Discrete State-Space

Implement a discrete state-space system.

Library

Discrete

Description

The Discrete State-Space block implements the system described by

where u is the input, x is the state, and y is the output. The matrix coefficients must have these characteristics, as illustrated in the diagram below:

• A must be an n-by-n matrix, where n is the number of states.
• B must be an n-by-m matrix, where m is the number of inputs.
• C must be an r-by-n matrix, where r is the number of outputs.
• D must be an r-by-m matrix.
  
  

The block accepts one input and generates one output. The input vector width is determined by the number of columns in the B and D matrices. The output vector width is determined by the number of rows in the C and D matrices.

Simulink converts a matrix containing zeros to a sparse matrix for efficient multiplication.

Data Type Support

A Discrete State Space block accepts and outputs a real signal of type double.

Parameters and Dialog Box

A, B, C, D

The matrix coefficients, as defined in the above equations.

Initial conditions

The initial state vector. The default is 0.

Sample time

The time interval between samples.

Characteristics

Direct Feedthrough	Only if D 0
Sample Time	Discrete
Scalar Expansion	Of the initial conditions
States	Determined by the size of A
Dimensionalized	Yes
Zero Crossing	No

Discrete Pulse Generator

Discrete-Time Integrator